Growth Estimates and Integral Representations of Harmonic and Subharmonic Functions

Abstract

There are ten chapters in this dissertation, which focuses on nine contents: growth estimates for a class of subharmonic functions in the half plane; growth estimates for a class of subharmonic functions in the half space; a generalization of harmonic majorants; properties of limit for Poisson integral; a lower bound for a class of harmonic functions in the half space; the Carleman formula of subharmonic functions in the half space; a generalization of the Nevanlinna formula for analytic functions in the right half plane; integral representations of harmonic functions in the half plane; integral representations of harmonic functions in the half space.